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Ugo [173]
2 years ago
15

7x + 2y = 11

Mathematics
1 answer:
enyata [817]2 years ago
6 0

Answer:

x = 1, y = 2

Step-by-step explanation:

7x + 2y = 11 -----Equation 1

Equation 1 × 7:

49x + 14y = 77 -----Equation 2

-------------------------------------------------------------------------------------------------------------

4x - 7y = -10 -----Equation 3

Equation 3 × 2:

8x - 14y = -20 -----Equation 4

-------------------------------------------------------------------------------------------------------------

Equations 3 + 4:

49x + 14y + 8x - 14y = 77-20

49x + 8x = 77-20

57x = 57

x = 57 ÷ 57

x = 1

Substitute x = 1 into Equation 1.

7x + 2y = 11

7(1) + 2y = 11

7 + 2y = 11

2y = 11-7

2y = 4

y = 4 ÷ 2

y = 2

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Five thousand raffle tickets are sold for $5 each. 50 winnings numbers will be chosen, 40 of which will win $100 each and 10 of
Allisa [31]

Answer:

Step-by-step explanation:

Given

there are 50 winning number out of which 40 get $ 100 each and 10 wins $ 1000 .

let x denotes the winning from a randomly selected ticket

x=100\ with\ Probability\ \frac{40}{5000}

x=1000\ with\ Probability\ \frac{10}{5000}

Expected value is given by

E(x)=100\times \frac{40}{5000}+1000\times \frac{10}{5000}

E(x)=0.8+2=2.8

and Expected return is given by

=100\times \frac{40}{5000}+1000\times \frac{10}{5000}-5

=2.8-5=$ -2.2

5 0
2 years ago
What is the value of x in the equation 4 <br> .<br> +<br> 2
Veseljchak [2.6K]

Answer:

x=-3

Step-by-step explanation:

6 0
2 years ago
Two step equation<br><br> n - 5/2 =5
Verdich [7]

Answer:

Step-by-step explanation:

two step equation

n - 5/2 = 5

n = 5 + 5/2

n = 5 + 2.5

n = 7.5

-----------

check

7.5 - 5/2 = 5

7.5 - 2.5 = 5

5 = 5

the answer is good

3 0
1 year ago
Given a dilation around the origin, what is the scale factor K?<br><br> Do, K = (20,16) → (-5,-4)
Rudik [331]

Answer:

Scale factor, K = -1/4

Step-by-step explanation:

Dilation of any image changes its size and the shape remains same.

The scale factor is the ratio of dilated image to original image.

Dilation rule: (x, y) → (kx, ky), where k is the scale factor.

It means k = x₂/x₁ or y₂/y₁

K = -5/20 = -1/4 or K = -4/16 = -1/4.

<u>The negative value of scale factor (K) indicates dilations with 180 degree rotation of the dilated image.</u>

Hence the scale factor is K = -1/4.

5 0
3 years ago
What is the value marginal product of labor if p = $10, mpl = $25, and apl = 40? multiple choice $400 $10,000 $250 $1,000
ioda

If P=$10, MPL= $25 and APL=$ 40, then the value of marginal product of labor is $250

The marginal product of labor (MPL) is the change in output that results from employing an added unit of labor.

The average product of labor (APL) is the total product of labor divided by the number of units of labor employed.

Here,

P= $10

The marginal product of labor (MPL)= $25

The average product of labor (APL)= $40

The value of marginal product of labor= P × The marginal product of labor (MPL)

The value of marginal product of labor= 10×25=$250

Hence, If P=$10, MPL= $25 and APL=$ 40, then the value of marginal product of labor is $250

Learn more about the value of marginal product of labor here

brainly.com/question/15072173

#SPJ4

3 0
1 year ago
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